Details

Time bar (total: 7.7s)

sample54.0ms

Algorithm
intervals
Results
21.0ms289×body80nan
17.0ms256×body80valid

simplify75.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
04414
116514
284614
3397414
4500114

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.3b

Counts
2 → 1

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3.0 (* v v))
0.2b
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
0.2b
(* PI t)
0.4b
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
30×add-exp-log add-cbrt-cube
18×associate-*r/
16×pow1
13×add-sqr-sqrt prod-exp cbrt-unprod
10×add-cube-cbrt *-un-lft-identity
8×flip3-- sqrt-div associate-*r* associate-/r/ flip--
7×associate-*l* pow-prod-down
4×cbrt-undiv expm1-log1p-u frac-times div-exp log1p-expm1-u add-log-exp
3×times-frac *-commutative associate-/l*
2×associate-*l/ associate-/l/ unswap-sqr
1×frac-2neg div-sub clear-num associate-/r* sqrt-prod div-inv
Counts
4 → 102
Calls
4 calls:
6.0ms
(* 3.0 (* v v))
16.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
3.0ms
(* PI t)
9.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series834.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* 3.0 (* v v))
595.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
23.0ms
(* PI t)
191.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify108.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 1 (20.0ms)

IterNodesCost
07731205
143311050
250011050

prune327.0ms

Filtered
114 candidates to 80 candidates (70.2%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1077114
Fresh000
Picked101
Done000
Total1087115

Merged error: 0.1b

Counts
115 → 7

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3.0 (* v v))
0.2b
(/ (- (* 1.0 1.0) (* (* 5.0 (* v v)) (* 5.0 (* v v)))) (* (* (fma (* 5.0 v) v 1.0) (* PI t)) (* (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))))
0.2b
(* PI t)
0.4b
(* (* (fma (* 5.0 v) v 1.0) (* PI t)) (* (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
61×add-exp-log add-cbrt-cube
34×prod-exp cbrt-unprod
32×pow1 associate-*r/
20×distribute-rgt-in distribute-lft-in
19×pow-prod-down
16×add-sqr-sqrt
13×add-cube-cbrt flip3-- *-un-lft-identity flip--
12×sqrt-div prod-diff
8×frac-times associate-/r/
7×cbrt-undiv div-exp associate-*l*
5×associate-*r*
4×expm1-log1p-u sub-neg times-frac associate-*l/ log1p-expm1-u associate-/l* add-log-exp
3×*-commutative
2×associate-/l/ difference-of-squares unswap-sqr
1×frac-2neg div-sub clear-num associate-/r* div-inv
Counts
4 → 145
Calls
4 calls:
6.0ms
(* 3.0 (* v v))
19.0ms
(/ (- (* 1.0 1.0) (* (* 5.0 (* v v)) (* 5.0 (* v v)))) (* (* (fma (* 5.0 v) v 1.0) (* PI t)) (* (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))))
3.0ms
(* PI t)
15.0ms
(* (* (fma (* 5.0 v) v 1.0) (* PI t)) (* (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))))

series1.5s

Counts
4 → 12
Calls
4 calls:
26.0ms
(* 3.0 (* v v))
654.0ms
(/ (- (* 1.0 1.0) (* (* 5.0 (* v v)) (* 5.0 (* v v)))) (* (* (fma (* 5.0 v) v 1.0) (* PI t)) (* (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))))
20.0ms
(* PI t)
764.0ms
(* (* (fma (* 5.0 v) v 1.0) (* PI t)) (* (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))))

simplify62.0ms

Algorithm
egg-herbie
Counts
157 → 157
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
011702960
150022663

prune524.0ms

Filtered
157 candidates to 102 candidates (65.0%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1543157
Fresh336
Picked011
Done000
Total1577164

Merged error: 0.0b

Counts
164 → 7

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 5.0 (* v v))
0.2b
(* 3.0 (* v v))
0.4b
(/ (* (/ (fma (* 5.0 v) v 1.0) (* (fma (* 5.0 v) v 1.0) PI)) (/ (- 1.0 (* 5.0 (* v v))) t)) (* (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))))
0.5b
(* (/ (fma (* 5.0 v) v 1.0) (* (fma (* 5.0 v) v 1.0) PI)) (/ (- 1.0 (* 5.0 (* v v))) t))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
100×add-exp-log add-cbrt-cube
37×prod-exp cbrt-unprod
35×cbrt-undiv div-exp
22×add-sqr-sqrt
16×pow1
15×add-cube-cbrt *-un-lft-identity associate-*r*
14×times-frac
13×associate-*l*
10×associate-*r/
8×associate-/r/
7×pow-prod-down
6×frac-times flip3-- sqrt-div flip--
4×expm1-log1p-u associate-*l/ log1p-expm1-u add-log-exp unswap-sqr
3×*-commutative div-inv associate-/l/
1×frac-2neg clear-num associate-/r* associate-/l*
Counts
4 → 144
Calls
4 calls:
6.0ms
(* 5.0 (* v v))
6.0ms
(* 3.0 (* v v))
18.0ms
(/ (* (/ (fma (* 5.0 v) v 1.0) (* (fma (* 5.0 v) v 1.0) PI)) (/ (- 1.0 (* 5.0 (* v v))) t)) (* (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))))
16.0ms
(* (/ (fma (* 5.0 v) v 1.0) (* (fma (* 5.0 v) v 1.0) PI)) (/ (- 1.0 (* 5.0 (* v v))) t))

series759.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(* 5.0 (* v v))
25.0ms
(* 3.0 (* v v))
616.0ms
(/ (* (/ (fma (* 5.0 v) v 1.0) (* (fma (* 5.0 v) v 1.0) PI)) (/ (- 1.0 (* 5.0 (* v v))) t)) (* (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))))
86.0ms
(* (/ (fma (* 5.0 v) v 1.0) (* (fma (* 5.0 v) v 1.0) PI)) (/ (- 1.0 (* 5.0 (* v v))) t))

simplify49.0ms

Algorithm
egg-herbie
Counts
156 → 156
Iterations

Useful iterations: 1 (27.0ms)

IterNodesCost
010472662
150011707

prune412.0ms

Filtered
156 candidates to 93 candidates (59.6%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1533156
Fresh235
Picked101
Done101
Total1576163

Merged error: 0b

Counts
163 → 6

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 5.0 (* v v))
0.2b
(* 3.0 (* v v))
0.4b
(/ (/ (* (- 1.0 (* 5.0 (* v v))) 1) PI) t)
0.4b
(/ (/ (/ (* (- 1.0 (* 5.0 (* v v))) 1) PI) t) (* (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
118×times-frac
67×add-exp-log
55×add-cbrt-cube
52×add-sqr-sqrt
50×add-cube-cbrt *-un-lft-identity
32×associate-/l*
31×div-exp
23×cbrt-undiv
17×prod-exp
14×pow1 div-inv
13×cbrt-unprod
8×associate-*r/ associate-/r/
6×flip3-- sqrt-div associate-*l* pow-prod-down flip--
4×expm1-log1p-u frac-times associate-/r* log1p-expm1-u add-log-exp
3×1-exp
2×frac-2neg associate-*r* associate-*l/ clear-num *-commutative associate-/l/ unswap-sqr
Counts
4 → 183
Calls
4 calls:
6.0ms
(* 5.0 (* v v))
9.0ms
(* 3.0 (* v v))
8.0ms
(/ (/ (* (- 1.0 (* 5.0 (* v v))) 1) PI) t)
18.0ms
(/ (/ (/ (* (- 1.0 (* 5.0 (* v v))) 1) PI) t) (* (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))))

series757.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(* 5.0 (* v v))
25.0ms
(* 3.0 (* v v))
87.0ms
(/ (/ (* (- 1.0 (* 5.0 (* v v))) 1) PI) t)
619.0ms
(/ (/ (/ (* (- 1.0 (* 5.0 (* v v))) 1) PI) t) (* (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))))

simplify129.0ms

Algorithm
egg-herbie
Counts
195 → 195
Iterations

Useful iterations: 1 (26.0ms)

IterNodesCost
010362505
149212182
250012182

prune495.0ms

Filtered
195 candidates to 137 candidates (70.3%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1923195
Fresh325
Picked101
Done000
Total1965201

Merged error: 0b

Counts
201 → 5

regimes104.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02815
12815

end0.0ms

sample1.3s

Algorithm
intervals
Results
510.0ms8000×body80valid
506.0ms8149×body80nan